However Ibrahimovic believes that the former England captain's experience will help PSG as it seeks to upset Barcelona and also claim the French league title for the first time since 1994.
"I think he has been very important for us," Ibrahimovic said. "The club has been changing from a normal club to a top club and Beckham gives you some kind of confidence.
"He has a quality, big quality. He has a touch that I haven't seen many players have. And he is very elegant when he plays."
Despite the criticism leveled at Beckham, Ancelotti has said he would once again start the midfielder in Wednesday's second leg.
If the game at the Camp Nou is as dramatic as the first leg at the Parc des Princest, fans should expect a memorable evening.
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After Lionel Messi gave Barca a first-half lead, Ibrahimovic drew PSG level from an offside position in the 79th minute before Xavi restored the visitors' one-goal advantage with an 89th minute penalty.
But instead of the visitor walking away with a 2-1 victory, Blaise Matuidi boosted PSG's second-leg prospects with a deflected effort four minutes into injury time.
Another boost for PSG would come if Messi doesn't play Wednesday, and he is a doubt after sustaining a hamstring injury in the first leg.
After the first leg, Barcelona lodged an official complaint to UEFA, angered about the standard of refereeing.
Besides Ibrahimovic's offside goal, the Catalans were upset that German referee Wolfgang Stark allowed play to continue when Javier Mascherano and Jordi Alba collided in the second half, leaving both Barcelona defenders prone on the ground.
Bayern Munich will be favored to advance against Juventus in Wednesday's other quarterfinal second leg, holding a 2-0 advantage. Real Madrid and Borussia Dortmund progressed Tuesday to reach the semifinals.